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Chapter 2: Q8. (page 41)

Can an object be increasing in speed as its acceleration decreases? If so, give an example. If not, explain.

Short Answer

Expert verified

Yes, an object is increasing in speed as its acceleration decreases.

Step by step solution

01

Step 1. Meaning of acceleration

Acceleration can be defined as the rate of change of velocity of an object. It is a vector quantity since it has both direction and magnitude.

02

Step 2. Citing an example explaining that an object is increasing in speed as its acceleration decreases

Assume the north to be the positive direction. If a car is going south and gaining speed at an increasing rate, the magnitude of its acceleration is large. However, since the acceleration is directed southward, it becomes increasingly negative.

In other words, the acceleration of the car decreases as its speed increases.

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Most popular questions from this chapter

An airplane travels 2100 km at a speed of 720 km/h and then encounters a tailwind that boosts its speed to 990 km/h for the next 2800 km. What was the total time for the trip? What was the average speed of the plane for this trip?

[Hint: Does Eq. 2–11d apply?]

Suppose a car manufacturer tested its cars for front-end collisions by hauling them up on a crane and dropping them from a certain height. (a) Show that the speed just before a car hits the ground, after falling from rest a vertical distance H, is given by2gH. What height corresponds to a collision at (b) 35 km/h (c) 95 km/h.

For an object falling freely from rest, show that the distance traveled during each successive second increases in the ratio of successive odd integers (1, 3, 5, etc.). (This was first shown by Galileo.) See Figs. 2–19 and 2–22.

A person who is properly restrained by an over-the-shoulder seat belt has a good chance of surviving a car collision if the deceleration does not exceed 30 “g’s’’1.00g=9.80m/s2. Assuming uniform deceleration at 30 g’s, calculate the distance over which the front end of the car must be designed to collapse if a crash brings the car to rest from 95 km/h.

A car traveling at 95 km/h is 210 m behind a truck traveling at 75 km/h. How long will it take for the car to reach the truck?
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